Math 2207 Eve Final Exam Fall 2020 v2.pdf Let f(x) be given by 9x - 27 x<3 x-3 f(x) = K, x = 3 x> 3 where K is an unknown constant. What value should K be replaced with so that f(x) is continuous for all X? OA. 18 There is no value of K that will work, because O B. lim f(x)# lim f(x). X+3- x- 3+ Oc 9 O D, 4 There is no value of K that will work, because OE. undefined when X = 3. 9x - 27 is X- 3

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.